Graph the function by hand, not by plotting points, but by starting with the graph of one of the standard functions and then applying the appropriate transformations. y=sqrt(x - 2) - 1

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asked 2021-02-05

Create a new function in the form \(y = a(x- h)^2 + k\) by performing the following transformations on \(f (x) = x^2\)
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Answer 1

To determine:
Graph of \(y=sqrt(x−2)−1\) by applying appropriate transformation.
Firstly, we will draw graph of \(y=sqrtx\) which is given by:Y1
now, we will draw graph of \(y=sqrt(x−2)\) by shifting the graph of \(y=sqrtx\) two units towards right.
So, the graph of \(y=sqrt(x−2)\) is as follows:Y2
Now, we will draw graph of \(y=sqrt(x−2)−1\) by shifting the graph of \(y=sqrt(x−2)\) one unit downward along y axis.
The graph of \(y=sqrt(x−2)−1\) is given by:Y3

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Graph the function by hand, not by plotting points, but by starting with the graph of one of the standard functions and then applying the appropriate transformations. y=sqrt(x - 2) - 1

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